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Finding the Third Proportional to 352,566 and 514,080

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Solution

The third proportional to 352,566 and 514,080 is: 749,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,566 : 514,080 = 514,080 : x
  2. Step 2: Convert to fraction form
    352,566/514,080 = 514,080/x
  3. Step 3: Cross multiply
    352,566x = 514,080 × 514,080
  4. Step 4: Simplify right side
    352,566x = 264,278,246,400
  5. Step 5: Solve for x
    x = 264,278,246,400/352,566
  6. Step 6: Final answer
    x = 749,585.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.